, O N E B ! B !
Introduction
ANSWERS TO REVIEW QUESTIONS B! B! B!
1. Guided missiles, automatic gain control in radio receivers, satellite tracking antenna
B! B! B! B! B! B! B! B! B! B!
2. Yes - power gain, remote control, parameter conversion; No - Expense, complexity
B! B! B! B! B! B! B! B! B! B! B!
3. Motor, low pass filter, inertia supported between two bearings
B! B! B! B! B! B! B! B!
4. Closed-
loop systems compensate for disturbances by measuring the response, comparing it to the in
B! B! B! B! B! B! B! B! B! B! B! B! B!
put response (the desired output), and then correcting the output response.
B! B! B! B! B! B! B! B! B! B!
5. Under the condition that the feedback element is other than unity
B! B! B! B! B! B! B! B! B! B!
6. Actuating signal B!
7. Multiple subsystems can time share the controller. Any adjustments to the controller ca
B! B! B! B! B! B! B! B! B! B! B! B!
n be implemented with simply software changes.
B! B! B! B! B! B!
8. Stability, transient response, and steady-state error
B! B! B! B! B!
9. Steady-state, transient B!
10. It follows a growing transient response until the steady-
B! B! B! B! B! B! B! B!
state response is no longer visible. The system will either destroy itself, reach an equilibrium
B! B! B! B! B! B! B! B! B! B! B! B! B! B! B
! state because of saturation in driving amplifiers, or hit limit stops.
B! B! B! B! B! B! B! B! B! B!
11. Transient response B!
12. True
13. Transfer function, state-space, differential equations
B! B! B! B!
14. Transfer function - the Laplace transform of the differential equation
B! B! B! B! B! B! B! B! B!
State-space - representation of an nth order differential equation as n simultaneous first-
B! B! B! B! B! B! B! B! B! B! B! B!
order differential equations
B! B!
Differential equation - Modeling a system with its differential equation
B! B! B! B! B! B! B! B! B!
SOLUTIONS TO PROBLEMS B! B!
50 volts B! B!
1. Five turns yields 50 v. Therefore K = 1.59
5 x 2 rad
B! B! B! B! B! B! B!
= B!
B! B! B!
,
, 2
B ! Chapter 1: B! B ! Introductio
n
2.
DesiredB!t Temperature VoltageB! ActualB!temperatu
FuelB!flo
emperature B!difference
difference re
w
B!
+ AmplifierB!an
Thermostat Heater
dB!valves
-
3.
Desired InputB! ErrorB! Aileron Roll RollB!
B!rollB!a voltage voltage positio
B! B!rat angle
ngle n e
+
controls
-
4.
InputB!
Speed
Desired voltage Actual
ErrorB!
B! MotorB!a
B!speed B!spee
+ voltage ndB!driv
transducer Amplifier e d
system
-
Dancer
DancerB!
positionB!sen
VoltageB!pr dynamics
sor
oportional
toB!actualB!speed
5.
InputB Power RodB!
voltag
! ErrorB!
B!
position
Desired e voltage MotorB! Actual
power andB!dri B!powe
Transducer
+ Amplifier veB!sys Reactor r
tem
-
SensorB!&B
!transduce
VoltageB!pro r
portional
toB!actualB!power
Introduction
ANSWERS TO REVIEW QUESTIONS B! B! B!
1. Guided missiles, automatic gain control in radio receivers, satellite tracking antenna
B! B! B! B! B! B! B! B! B! B!
2. Yes - power gain, remote control, parameter conversion; No - Expense, complexity
B! B! B! B! B! B! B! B! B! B! B!
3. Motor, low pass filter, inertia supported between two bearings
B! B! B! B! B! B! B! B!
4. Closed-
loop systems compensate for disturbances by measuring the response, comparing it to the in
B! B! B! B! B! B! B! B! B! B! B! B! B!
put response (the desired output), and then correcting the output response.
B! B! B! B! B! B! B! B! B! B!
5. Under the condition that the feedback element is other than unity
B! B! B! B! B! B! B! B! B! B!
6. Actuating signal B!
7. Multiple subsystems can time share the controller. Any adjustments to the controller ca
B! B! B! B! B! B! B! B! B! B! B! B!
n be implemented with simply software changes.
B! B! B! B! B! B!
8. Stability, transient response, and steady-state error
B! B! B! B! B!
9. Steady-state, transient B!
10. It follows a growing transient response until the steady-
B! B! B! B! B! B! B! B!
state response is no longer visible. The system will either destroy itself, reach an equilibrium
B! B! B! B! B! B! B! B! B! B! B! B! B! B! B
! state because of saturation in driving amplifiers, or hit limit stops.
B! B! B! B! B! B! B! B! B! B!
11. Transient response B!
12. True
13. Transfer function, state-space, differential equations
B! B! B! B!
14. Transfer function - the Laplace transform of the differential equation
B! B! B! B! B! B! B! B! B!
State-space - representation of an nth order differential equation as n simultaneous first-
B! B! B! B! B! B! B! B! B! B! B! B!
order differential equations
B! B!
Differential equation - Modeling a system with its differential equation
B! B! B! B! B! B! B! B! B!
SOLUTIONS TO PROBLEMS B! B!
50 volts B! B!
1. Five turns yields 50 v. Therefore K = 1.59
5 x 2 rad
B! B! B! B! B! B! B!
= B!
B! B! B!
,
, 2
B ! Chapter 1: B! B ! Introductio
n
2.
DesiredB!t Temperature VoltageB! ActualB!temperatu
FuelB!flo
emperature B!difference
difference re
w
B!
+ AmplifierB!an
Thermostat Heater
dB!valves
-
3.
Desired InputB! ErrorB! Aileron Roll RollB!
B!rollB!a voltage voltage positio
B! B!rat angle
ngle n e
+
controls
-
4.
InputB!
Speed
Desired voltage Actual
ErrorB!
B! MotorB!a
B!speed B!spee
+ voltage ndB!driv
transducer Amplifier e d
system
-
Dancer
DancerB!
positionB!sen
VoltageB!pr dynamics
sor
oportional
toB!actualB!speed
5.
InputB Power RodB!
voltag
! ErrorB!
B!
position
Desired e voltage MotorB! Actual
power andB!dri B!powe
Transducer
+ Amplifier veB!sys Reactor r
tem
-
SensorB!&B
!transduce
VoltageB!pro r
portional
toB!actualB!power
